In a survey of 600 students, 80% said they liked pop music. How many students liked pop music?
For percents

Answer:

linear

Step-by-step explanation:

m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.

equation of the function is y = - 4x + 14 ⇒ function is linear

Answer:

Answer - words, colon, fraction

Step-by-step explanation:

A ratio can be expressed in words as a description, with a colon between 2 quantities, or as a fraction.

EXPLANATION:

A ratio is a statement of the quantitative relationship between two numbers in a given scenario.

- It can be expressed in words as a description of the relationship. E.g. "Ratio 2 to 8"

- It can be expressed with a colon. E.g. "2:8"

- It can be expressed as a fraction. E.g. "2/8"

Answer:

x = -9 + 11y

Step-by-step explanation:

Simplifying

2x + -22y = -18

Solving

2x + -22y = -18

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '22y' to each side of the equation.

2x + -22y + 22y = -18 + 22y

Combine like terms: -22y + 22y = 0

2x + 0 = -18 + 22y

2x = -18 + 22y

Divide each side by '2'.

x = -9 + 11y

Simplifying

x = -9 + 11y

Hope this helps!!

Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

Answer:

0.86433

0.29782

0.07966

Step-by-step explanation:

Given that :

Number of trials (n) = 180

Probability that a total of 7 occurs

To obtain a total of 7 from a pair of dice :

Combinations:

(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ;(6, 1)

Sample space when a pair of dice is rolled = 6² = 36

Probability of success (p) = number of 7

combination possible ÷ sample space)

p = 6 / 36 = 0.1667

q = p' = 1 - p = 1 - 0.1667 = 0.8333

Using Normal approximation :

Mean (m) = np = 180 * 0.1667 = 30.006

Standard deviation (σ) = √npq

σ = √(180 * 0.1667 * 0.8333)

σ = 5.0003999

σ = 5.00

(a) at least 25 times?

P(x ≥ 25)

x = 25 - 0.5 = 24.5

Obtain the Zscore :

Z = (x - m) / σ

Z = (24.5 - 30) / 5

Z = -5.5/5

Z = -1.1

P(z ≤ - 1.1)

USing the z probability calculator :

P(z≥ - 1.1) = 0.86433

(b) between 33 and 41 times inclusive?

P(32.5 ≤ x ≤ 41.5)

Z =[ (32.5 - 30) / 5] ≤ x ≤ [ (41.5 - 30) / 5]

Z = 2.5/5 ≤ x ≤ 11.5 /5

Z = 0.5 ≤ x ≤ 2.3

Using z probability calculator :

P(z ≤ 0.5) = 0.69146

P(z ≤ 2.3) = 0.98928

0.98928 - 0.69146 = 0.29782

(c) exactly 30 times?

P(x = 30)

P(29.5 ≤ x ≤ 30.5)

Z =[ (29.5 - 30) / 5] ≤ x ≤ [ (30.5 - 30) / 5]

Z = - 0.5/5 ≤ x ≤ 0.5 /5

Z = - 0.1 ≤ x ≤ 0.1

Using z probability calculator :

P(z ≤ - 0.1) = 0.46017

P(z ≤ 0.1) = 0.53983

0.53983 - 0.46017 = 0.07966

Using the normal approximation to the binomial, it is found that there is a:

a) 0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

b) 0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

c) 0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and standard deviation are given by:

[tex]\mu = np = 180\frac{1}{6} = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{180\frac{1}{6}\frac{5}{6}} = 5[/tex]

Item a:

Using continuity correction, this probability is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the p-value of Z when X = 24.5. Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5}[/tex]

[tex]Z = -1.1[/tex]

[tex]Z = -1.1[/tex] has a p-value of 0.1357.

1 - 0.1357 = 0.8643.

0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

Item b:

Using continuity correction, this probability is [tex]P(33 - 0.5 \leq X \leq 41 + 0.5) = P(32.5 \leq X \leq 41.5)[/tex], which is the p-value of Z when X = 41.5 subtracted by the p-value of Z when X = 32.5. Hence:

X = 41.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41.5 - 30}{5}[/tex]

[tex]Z = 2.3[/tex]

[tex]Z = 2.3[/tex] has a p-value of 0.9893.

X = 32.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 30}{5}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

0.9893 - 0.6915 = 0.2978.

0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

Item c:

Using continuity correction, this probability is [tex]P(30 - 0.5 \leq X \leq 30 + 0.5) = P(29.5 \leq X \leq 30.5)[/tex], which is the p-value of Z when X = 30.5 subtracted by the p-value of Z when X = 29.5. Hence:

X = 30.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 30}{5}[/tex]

[tex]Z = 0.1[/tex]

[tex]Z = 0.1[/tex] has a p-value of 0.5398.

X = 29.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29.5 - 30}{5}[/tex]

[tex]Z = -0.1[/tex]

[tex]Z = -0.1[/tex] has a p-value of 0.4602.

0.5398 - 0.4602 = 0.0796.

0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

A similar problem is given at https://brainly.com/question/19054425

Answer:

whith whut

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.

Hope this helps... Stay safe and have a great day!!! :D

Answer: -81

Step-by-step explanation:

Let x = the car moving towards west = 30

Let y = truck moving towards north = 40

dx/dt = -55

dy/dt = -60

We the use Pythagoras theorem to solve further where,

s² = x² + y²

s² = 30² + 40²

s² = 900 + 1600

s² = 2500

s =✓2500

s = 50

We then differentiate with respect to t, then we will have:

s² = x² + y²

2s ds/dt = 2x ds/dt + 2y dy/dt

50 ds/dt = (30 × -55) + (40 × -60)

50 ds/dt = -1650 - 2400

50 ds/dt = - 4050

ds/dt = -4050/50

ds/dt = -81

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

Answer:

7 meters

Step-by-step explanation:

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

9514 1404 393

Answer:

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Step-by-step explanation:

We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Answer:

sorry type it out

Step-by-step explanation:

Answer:

find the lcm of 22,36,and 42

Step-by-step explanation:

lcm of 22 = 11 x 2

lcm of 36 = 2 x 2 x 3 x 3

lcm of 42 = 2 x 3 x 7

so the lcm of three numbers are 11 x 2 x 2 x 2 x 3 x 3 2 x 3 x 7 = 1000

Answer:

2,772

Step-by-step explanation:

First we find the LCM (Least common multiple) of the given numbers.

2 | 22, 36, 42

2 | 11, 18, 21

3 | 11, 9, 21

3 | 11, 3, 7

7 | 11, 1, 7

11 | 11, 1. 1

| 1, 1, 1,

LCM of 22, 36, 42 = 2*2*3*3*7*11 = 2,772

Thus, the lowest number of four digits that can be divided by 22,36,and 42 is 2772.

Answer:

600.006 would be the answer

Answer:

No, because the number in 2011 multiplied by three is less than the number in 2015.

Step-by-step explanation:

i dunno just makes sense

Answer:

I think that it did not because 555*3 is not 900 so it can't equal it.

Step-by-step explanation:

Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

Prakhar is 13 years older than his youngest sister. :) <3

Answer:

The answer is ( A) -There is no correlation between amount of sleep and number of calories burned

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation

Solving for b:

Answer:

b = ±√(c² - a²)

Step-by-step explanation:

We have to get the value of B.

Step 1: (b squared = c squared - a squared)

b² = c² - a²

Step 2: (cube root of b squared = cube root of c squared and a squared)

√b² = √(c² - a²)

We get the answer as:

b = ±√(c² - a²)

Answer:1/24

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

: )

Answer:

20%

Step-by-step explanation:

Given parameters:

Initial volume of water = 5cm³

New volume of water = 4cm³

Unknown:

Percentage decrease of water in the tank = ?

Solution:

To find the percentage decrease;

  Percentage decrease  = [tex]\frac{Old - New}{Old}[/tex] x 100

 Percentage decrease  = [tex]\frac{5-4}{5}[/tex] x 100  = 20%

Answer:

$7.20

Step-by-step explanation:

Chocolate chip pancake mix is $2/lb, and you need 3 pounds. 2 x 3 = 6, so it the mix will cost $6.

Buttermilk pancake mix is $3/lb. You need 1/10 of a pound, so divide 3 by 10. When you divide a number by 10, move the decimal one place to the left. That means there is an extra 0 in front of the 3, so the price is $0.30.

Plain pancake mix is $1/lb. You need 9/10 of a pound. 9/10 of 1 is 0.9, so it will cost $0.90.

Add the prices together, and you have $7.20.

Answer:

a zero line

Step-by-step explanation:

i dont have a diagram to show

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

Answer:

(-infinity, infinity)

Step-by-step explanation:

You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).

Answer:

R (all real numbers)

R (all real numbers)

Step-by-step explanation:

Answer:

Following are the similarities and differences to this question:

Step-by-step explanation:

In the given question, both girls have such a mean performance of about 17 points per game throughout this issue, however, Sciurine is much more consistent. Your IQR becomes approximately 2 levels and Alexandra is greater than 10.

Answer:

may God lay a helping hand